中国科学院理论物理研究所机构知识库

We compute the tensor and scalar spectral index n(t), n(s), the tensor-to-scalar ratio r, and the consistency relation n(t)/r in the general monomial multifield slow-roll inflation models with potentials V similar to Sigma(i)lambda(i)vertical bar phi(i)vertical bar(Pi). The general models give a novel relation that nt, ns and n(t)/r are all proportional to the logarithm of the number of fields N-f when N-f is getting extremely large with the order of magnitude around O(10(40)) thorn. An upper bound N-f less than or similar to N*e(ZN)* is given by requiring the slow variation parameter small enough where N-* is the e-folding number and Z is a function of distributions of lambda(i) and rho(i). Besides, n(t)/r differs from the single-field result - 1/8 with substantial probability except for a few very special cases. Finally, we derive theoretical boundsr r > 2/N-* (r greater than or similar to 0.03) and for nt, which can be tested by observation in the near future.